We study the combined effect of cubic anisotropy and quenched uncorrelated impurities on multicomponent spin models. For this purpose, we consider the field-theoretical approach based on the Ginzburg-Landau-Wilson Phi(4) Hamiltonian with cubic-symmetric quartic interactions and quenched randomness coupled to the local energy density. We compute the renormalization-group functions to six loops in the fixed-dimension (d=3) perturbative scheme. The analysis of such high-order series provides an accurate description of the renormalization-group flow. The results are also used to determine the critical behavior of three-dimensional antiferromagnetic three- and four-state Potts models in the presence of quenched impurities.
|Autori interni:||CALABRESE, PASQUALE|
|Autori:||Calabrese P; Pelissetto A; Vicari E|
|Titolo:||Randomly dilute spin models with cubic symmetry|
|Anno del prodotto:||2003|
|Digital Object Identifier (DOI):||10.1103/PhysRevB.67.024418|
|Appare nelle tipologie:||1.1 Articolo in rivista|